A MODIFIED METHOD OF SOLVING THE PRESSURE–RATE DECONVOLUTION PROBLEM FOR IDENTIFICATION OF WELLBORE–RESERVOIR SYSTEM

In the paper, the method suggested in [5] for solving the pressure–rate deconvo- lution problem was modified with implementation for the synthetic (quasi-real) oil and gas data. Modification of the method is based on using the additional a priori information on the function v(t) = tg(t) in the logar...

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Vydané v:Eurasian Journal of Mathematical and Computer Applications Ročník 9; číslo 4; s. 63 - 75
Hlavní autori: Vasin, Vladimir, Toussaint, Fabrice
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: 01.01.2021
ISSN:2306-6172, 2308-9822
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Shrnutí:In the paper, the method suggested in [5] for solving the pressure–rate deconvo- lution problem was modified with implementation for the synthetic (quasi-real) oil and gas data. Modification of the method is based on using the additional a priori information on the function v(t) = tg(t) in the logarithmic scale. On the initial time interval, the function is concave and its final interval is monotone. Here, g(t) is the solution of the basis equation (1). To take into account these properties in the Tikhonov algorithm, the penalty function method is used. It allowed one to increase the precision of the numerical solution and to improve quality of identification of the wellbore–reservoir system. Numerical experiments are provided.
ISSN:2306-6172
2308-9822
DOI:10.32523/2306-6172-2021-9-4-63-75